GCF and LCM Calculator Logo

What is the Least Common Multiple of 55946 and 55964?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55946 and 55964 is 1565480972.

LCM(55946,55964) = 1565480972

LCM Calculator and
and

Least Common Multiple of 55946 and 55964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55946 and 55964, than apply into the LCM equation.

GCF(55946,55964) = 2
LCM(55946,55964) = ( 55946 × 55964) / 2
LCM(55946,55964) = 3130961944 / 2
LCM(55946,55964) = 1565480972

Least Common Multiple (LCM) of 55946 and 55964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55946 and 55964. First we will calculate the prime factors of 55946 and 55964.

Prime Factorization of 55946

Prime factors of 55946 are 2, 11, 2543. Prime factorization of 55946 in exponential form is:

55946 = 21 × 111 × 25431

Prime Factorization of 55964

Prime factors of 55964 are 2, 17, 823. Prime factorization of 55964 in exponential form is:

55964 = 22 × 171 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 55946 and 55964.

LCM(55946,55964) = 22 × 111 × 25431 × 171 × 8231
LCM(55946,55964) = 1565480972